Find the probability that in a random arrangement of the letters of the word SOCIAL vowel come together.

Explanation

Number of Vowels in word 'SOCIAL' are A,I,O


Number of ways we can arrange SOCIAL, word with vowels together is SCL(AIO) `= 4!xx3!`


Total number of arrangements are 6!


Probability` =(4!xx3!)/(6!)=(4!xx3xx2)/(6xx5xx4!)=1/5`